Find each sum or difference. See Example 1.

-7⁄3 + 3⁄4

Question

Find each sum or difference. See Example 1.

-7⁄3 + 3⁄4

Accepted Answer

Hey, everyone. Here we are asked to perform the indicated operations in the given expression negative eight divided by five plus nine divided by four. Here we have four answer choice options, answer choice A 13 divided by 20. Answer B negative 13 divided by answer C 77 divided by 20. And answer D negative is 77 divided by 20. So in order to sum our two given fractions, we first need to find the least common denominator. So to find the least common denominator, we need to look at both of the values in our given fractions denominators which are five and four. And here we see these values do not share any common factor. So we find the least common denominator by simply multiplying the two values together. So we have five multiplied by four which gives us 20. So our least common denominator is 20. And this means that we now need to manipulate both of our given fractions. So they have a common denominator of 20. So starting with our first fraction again, recalling we had negative eight divided by five. Well, to get its denominator to B 20 we need to multiply the numerator and the denominator by four. And now with our second fraction recalling we had plus nine divided by four, we need to get its denominator to also be 20. So we multiply the numerator and the denominator by five. So now just multiplying we get negative divided by 20 plus 45 divided by 20. And now that we have common denominators for both of our fractions, we can now combine the numerators. So we have 45 minus all divided by 20. And now just subtracting our two values, we get 13 divided by 20. And here we cannot simplify our fraction any further. So this is our final answer which leaves us with answer choice. A 13 divided by 20. Thanks for watching. I hope you found this video helpful and I'll see you again next time.

Find each sum or difference. See Example 1. -7⁄3 + 3⁄4

Key Concepts

Adding Fractions

Negative Numbers in Fractions

Simplifying Fractions

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